Computational analysis of nonsimilar electromagnetohydrodynamic radiative nanofluid flow across Darcy–Forchheimer–Brinkman porous media

Abstract

This study develops nonsimilar analysis for the electrically conducting nanofluid flow over a vertically placed stretching surface adjacent to porous medium with transverse magnetic field assumption. The features of thermal radiations, viscous dissipation, and heat source factors are also incorporated to scrutinize the thermal prospective. The Brinkman–Forchheimer who extended Darcy model is considered for the porous medium and a Rosseland approximation is employed for thermal radiations. Titanium oxide and silica are considered nanoparticles, while kerosine oil and silicon ceramic serving as the base fluids in porous medium, respectively. Tiwari–Dass approach is used to derive the governing system. Appropriate transformations are deployed to render the governing partial differential equations into a dimensionless system. To address the transformed system, the local nonsimilarity technique in conjunction with the bvp4c (fourth-order method boundary value problem) is used. Variations in velocity and thermal distributions of nanofluids have been investigated in relation to developing dimensionless parameters such as nanoparticle concentration, Darcy porosity parameter, Darcy number, electric parameter, Hartmann number, radiation parameter, Richardson number, heat source/sink parameter, and Eckert number. Numerical findings are found to interpret the role of the emerging parameters on physical quantities. The obtained findings reveals that the surge in the estimations of Richardson number enhances the nanofluid velocity while it diminishes the temperature profile. The concentration of nanoparticles improves the thermal profile of both nanofluids under consideration, whereas the enhancement in Darcy porosity parameter reduces velocity and improves temperature distributions. Results found to be in excellent agreement with published results on a special case of the considered problem.